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Finding the Third Proportional to 424,312,905.75 and 633,856,318.50

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Solution

The third proportional to 424,312,905.75 and 633,856,318.50 is: 946,881,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,312,905.75 : 633,856,318.50 = 633,856,318.50 : x
  2. Step 2: Convert to fraction form
    424,312,905.75/633,856,318.50 = 633,856,318.50/x
  3. Step 3: Cross multiply
    424,312,905.75x = 633,856,318.50 × 633,856,318.50
  4. Step 4: Simplify right side
    424,312,905.75x = 401,773,832,502,373,440
  5. Step 5: Solve for x
    x = 401,773,832,502,373,440/424,312,905.75
  6. Step 6: Final answer
    x = 946,881,009.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.